#### Vol. 310, No. 2, 2021

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Decompositions of principal series representations of Iwahori–Hecke algebras for Kac–Moody groups over local fields

### Auguste Hébert

Vol. 310 (2021), No. 2, 303–353
DOI: 10.2140/pjm.2021.310.303
##### Abstract

Recently, Iwahori–Hecke algebras were associated to Kac–Moody groups over non-Archimedean local fields. In a previous paper, we introduced principal series representations for these algebras and partially generalized Kato’s irreducibility criterion. Here, we study how some of these representations decompose when they are reducible and deduce information on the irreducible representations of these algebras.

##### Keywords
Kac–Moody groups, Iwahori–Hecke algebras, principal series representations, non-Archimedean local fields
##### Mathematical Subject Classification 2010
Primary: 20C08, 20G44
Secondary: 20E42, 22E50